Finite Group Databasebeta

← #25156553

Subgroups — #25156553

Order 11008.

924 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583223C211yesmaximal, characteristic, complemented
2C2×#14582942C211yesmaximal, characteristic, complemented
3#19138035C211yesmaximal, characteristic
4#19136124C211yesmaximal, characteristic, complemented
5#19136067C211yesmaximal, characteristic, complemented
6#19136026C211yesmaximal, characteristic, complemented
7#19135777C211yesmaximal, characteristic, complemented
8#19135222C211yesmaximal, characteristic, complemented
9#19135173C211yesmaximal, characteristic, complemented
10#19135031C211yesmaximal, characteristic, complemented
11#19134917C211yesmaximal, characteristic, complemented
12#19134893C211yesmaximal, characteristic, complemented
13#19134794C211yesmaximal, characteristic, complemented
14#19134782C211yesmaximal, characteristic, complemented
15C43×#2354C211yesmaximal, characteristic, complemented
16C22×#10621877C2211yescharacteristic
17C2×#13063299C2211yescharacteristic
18C2×#13063299C2211yescharacteristic
19C2×#13063297—21no—
20C22×C4⋊Dic43C2211yescharacteristic
21#14583223—24no—
22#14582942—24no—
23C2×#13063258C2211yescharacteristic
24C2×#13063258C2211yescharacteristic
25C2×#13063258C2211yescharacteristic
26C2×#13063258C2211yescharacteristic
27C2×#13063256C2211yescharacteristic
28C2×#13063256C2211yescharacteristic
29C2×#13063245C2211yescharacteristic
30C2×#13063245C2211yescharacteristic
31C2×#13063245C2211yescharacteristic
32C2×#13063245C2211yescharacteristic
33C2×C22⋊(C43⋊C8)C2211yescharacteristic
34C2×C22⋊(C43⋊C8)C2211yescharacteristic
35C2×C22⋊(C43⋊C8)C2211yescharacteristic
36#14582821—21no—
37#14582815—21no—
38#14582801C2211yescharacteristic
39#14582797C2211yescharacteristic
40#14582776—21no—
41#14582759C2211yescharacteristic
42#14582661C2211yescharacteristic
43#14582661C2211yescharacteristic
44#14582661C2211yescharacteristic
45#14582661C2211yescharacteristic
46#14582661C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582654C2211yescharacteristic
49#14582654C2211yescharacteristic
50C2×C4×D4×C43C2211yescharacteristic
51C2×#117×C43C2211yescharacteristic
52C2×#117×C43C2211yescharacteristic
53C43×#390—21no—
54C43×#388—21no—
55C43×#388—21no—
56C43×#384C2211yescharacteristic
57C43×#380C2211yescharacteristic
58C43×#380C2211yescharacteristic
59C4×C4⋊C4×C43—21no—
60C4×C4⋊C4×C43C2211yescharacteristic
61C22×D172C2311yescharacteristic
62C22×C22⋊D43—21no—
63C22×C22⋊D43—21no—
64C23×Dic43—21no—
65C2×#10621877—22no—
66C2×#10621877—22no—
67C2×#10621877—22no—
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70C22×C43⋊C8C2311yescharacteristic
71C22×C43⋊C8C2311yescharacteristic
72#13063299—22no—
73#13063299—22no—
74#13063299—22no—
75#13063299—41no—
76#13063297—44no—
77C2×C4⋊Dic43—22no—
78C2×C4⋊Dic43—21no—
79C2×C4⋊Dic43—41no—
80C2×C4⋊Dic43C2311yescharacteristic
81C2×C4⋊Dic43C2311yescharacteristic
82C2×C4⋊Dic43C2311yescharacteristic
83C2×Dic43⋊C4—21no—
84C2×C22⋊Dic43—21no—
85C2×(C2×D43)⋊C4—21no—
86C2×(C2×D43)⋊C4—21no—
87C2×(C2×D43)⋊C4—21no—
88C2×(C2×D43)⋊C4—21no—
89#13063258—22no—
90#13063258—22no—
91#13063258—22no—
92#13063258—41no—
93#13063256—22no—
94#13063256D414yescomplemented
95#13063245—22no—
96#13063245—22no—
97#13063245—22no—
98#13063245—41no—
99C22⋊(C43⋊C8)—22no—
100C22⋊(C43⋊C8)—22no—
101C22⋊(C43⋊C8)—22no—
102C43⋊#95—21no—
103C43⋊#95—21no—
104C22×D4×C43D411yescharacteristic
105C23×C4×C43C2311yescharacteristic
106C23×C4×C43C2311yescharacteristic
107C4×D4×C43—22no—
108C4×D4×C43—22no—
109#117×C43—22no—
110#117×C43—22no—
111#117×C43—41no—
112#117×C43—41no—
113C2×C4⋊C4×C43—21no—
114C2×C4⋊C4×C43—21no—
115C2×C4⋊C4×C43D411yescharacteristic
116C2×C4⋊C4×C43C2311yescharacteristic
117C2×C4⋊C4×C43C2311yescharacteristic
118C2×C4⋊C4×C43C2311yescharacteristic
119C2×C4⋊C4×C43C2311yescharacteristic
120C2×C22⋊C4×C43—21no—
121C2×C22⋊C4×C43—21no—
122C2×C22⋊C4×C43—21no—
123C2×C22⋊C4×C43—21no—
124C2×C22⋊C4×C43D411yescharacteristic
125C2×C22⋊C4×C43D411yescharacteristic
126C2×C42×C43—21no—
127C2×C42×C43—21no—
128C2×C42×C43—21no—
129C2×C42×C43C2311yescharacteristic
130#95×C43—21no—
131#95×C43—21no—
132#95×C43—21no—
133C24×C43C2×D411yescharacteristic
134C24×C43C2×D411yescharacteristic
135C23×D43—21no—
136C2×D4×C43—22no—
137C2×D4×C43—22no—
138C2×D4×C43—41no—
139C22×C4×C43—21no—
140C22×C4×C43—21no—
141C22×C4×C43—21no—
142C22×C4×C43—21no—
143C22×C4×C43—21no—
144C22×C4×C43—21no—
145C22×C4×C43—21no—
146C22×C4×C43—21no—
147C22×C4×C43—21no—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43C2×D411yescharacteristic
154C22×C4×C43C2×D411yescharacteristic
155C22×C4×C43C2×D411yescharacteristic
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43#4112yes—
158C22×C4×C43#4112yes—
159C22×C4×C43C2411yescharacteristic
160C2×C22⋊D43—42no—
161C2×C22⋊D43—42no—
162C2×C22⋊D43—42no—
163C2×C22⋊D43—42no—
164C2×C22⋊D43—42no—
165C2×C22⋊D43—81no—
166C22×Dic43—21no—
167C22×Dic43—21no—
168C22×Dic43—21no—
169C22×Dic43—42no—
170C22×Dic43—42no—
171C22×Dic43—81no—
172C2×D172—21no—
173C2×D172—21no—
174C2×D172—21no—
175C2×D172—21no—
176C2×D172—21no—
177C2×D172—21no—
178C4⋊C4×C43—22no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43—21no—
182C4⋊C4×C43—21no—
183C4⋊C4×C43—21no—
184C4⋊C4×C43—21no—
185C4⋊C4×C43—21no—
186C4⋊C4×C43—42no—
187C4⋊C4×C43—81no—
188C4⋊C4×C43C2×D412yes—
189C22⋊C4×C43—22no—
190C22⋊C4×C43—22no—
191C22⋊C4×C43—42no—
192C22⋊C4×C43—42no—
193C22⋊C4×C43—81no—
194C22⋊C4×C43—81no—
195C42×C43—21no—
196C42×C43—21no—
197C42×C43—42no—
198C42×C43—42no—
199C42×C43—42no—
200C22⋊Dic43—42no—
201(C2×D43)⋊C4—42no—
202(C2×D43)⋊C4—42no—
203(C2×D43)⋊C4—42no—
204(C2×D43)⋊C4—81no—
205C4⋊Dic43—21no—
206C4⋊Dic43—21no—
207C4⋊Dic43—21no—
208C4⋊Dic43—21no—
209C4⋊Dic43—21no—
210C4⋊Dic43—42no—
211C4⋊Dic43C2×D412yes—
212Dic43⋊C4—42no—
213#10621877—28no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8—21no—
216C2×C43⋊C8—21no—
217C2×C43⋊C8—21no—
218C2×C43⋊C8—21no—
219C2×C43⋊C8—21no—
220C2×C43⋊C8—21no—
221C2×C43⋊C8—21no—
222C2×C43⋊C8—21no—
223C2×C43⋊C8—21no—
224C2×C43⋊C8C2×D412yes—
225C2×C43⋊C8#4112yes—
226C23×C43—21no—
227C23×C43—21no—
228C23×C43—21no—
229C23×C43—21no—
230C23×C43—21no—
231C23×C43—21no—
232C23×C43—21no—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43#12312yes—
240C23×C43C22×D411yescharacteristic
241C22×D43—41no—
242C22×D43—41no—
243C22×D43—41no—
244C22×D43—41no—
245C22×D43—41no—
246C22×D43—41no—
247C22×D43—41no—
248D4×C43—44no—
249C2×C4×C43—21no—
250C2×C4×C43—21no—
251C2×C4×C43—21no—
252C2×C4×C43—21no—
253C2×C4×C43—22no—
254C2×C4×C43—22no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—21no—
258C2×C4×C43—21no—
259C2×C4×C43—21no—
260C2×C4×C43—22no—
261C2×C4×C43—21no—
262C2×C4×C43—21no—
263C2×C4×C43—21no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43—41no—
269C2×C4×C43—41no—
270C2×C4×C43—41no—
271C2×C4×C43—41no—
272C2×C4×C43—41no—
273C2×C4×C43—41no—
274C2×C4×C43—41no—
275C2×C4×C43—41no—
276C2×C4×C43—41no—
277C2×C4×C43—41no—
278C2×C4×C43—41no—
279C2×C4×C43#12312yes—
280C2×C4×C43AGL(1,ℤ/8)12yes—
281C2×C4×C43C22×D411yescharacteristic
282C2×C4×C43C2×#4111yescharacteristic
283C2×C4×C43C2×#4111yescharacteristic
284C2×C4×C43C2×#4111yescharacteristic
285C2×C4×C43H(5,𝔽2)11yescharacteristic
286C2×C4×C432−1+411yescharacteristic
287C22⋊D43—84no—
288C22⋊D43—84no—
289C2×Dic43—22no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—84no—
299D172—41no—
300D172—41no—
301D172—41no—
302D172—41no—
303C43⋊C8—22no—
304C43⋊C8—22no—
305C43⋊C8—41no—
306C43⋊C8—41no—
307#26157—431nomaximal, Sylow
308C22×C43—22no—
309C22×C43—22no—
310C22×C43—22no—
311C22×C43—41no—
312C22×C43—41no—
313C22×C43—41no—
314C22×C43—41no—
315C22×C43—41no—
316C22×C43—41no—
317C22×C43—41no—
318C22×C43—41no—
319C22×C43—41no—
320C22×C43—41no—
321C22×C43—41no—
322C22×C43C2×#12311yescharacteristic
323C22×C43D4211yescharacteristic
324C22×C43#54711yescharacteristic
325C22×C43C2×AGL(1,ℤ/8)11yescharacteristic
326C22×C43#57511yescharacteristic
327C22×C43#57611yescharacteristic
328C22×C43#57811yescharacteristic
329C2×D43—81no—
330C2×D43—81no—
331C2×D43—81no—
332C2×D43—81no—
333C2×D43—81no—
334C2×D43—81no—
335C2×D43—81no—
336C4×C43—22no—
337C4×C43—22no—
338C4×C43—41no—
339C4×C43—41no—
340C4×C43—42no—
341C4×C43—81no—
342C4×C43—81no—
343C4×C43—81no—
344C4×C43#52511yescharacteristic
345C4×C43#53911yescharacteristic
346C4×C43#54811yescharacteristic
347C4×C43#55311yescharacteristic
348Dic43—42no—
349Dic43—81no—
350Dic43—81no—
351C2×#482—431no—
352C2×#428—431no—
353#2416—431no—
354#2354D4311yescharacteristic, complemented
355#2093—431no—
356#2083—431no—
357#2076—431no—
358#2033—431no—
359#1926—431no—
360#1919—431no—
361#1895—431no—
362#1875—431no—
363#1870—431no—
364#1854—431no—
365#1852—431no—
366C2×C43—42no—
367C2×C43—81no—
368C2×C43#244311yescharacteristic
369C2×C43#309411yescharacteristic
370C2×C43#309811yescharacteristic
371C2×C43#326911yescharacteristic
372C2×C43#327411yescharacteristic
373C2×C43#334711yescharacteristic
374C2×C43#335311yescharacteristic
375D43—161no—
376C22×M16—431no—
377C2×#121—431no—
378C2×#121—431no—
379C2×#121—861no—
380C2×C4×D4C2×D4311yescharacteristic
381C2×#117C2×D4311yescharacteristic
382C2×#117C2×D4311yescharacteristic
383C22×C4⋊C4—431no—
384#482—864no—
385#428—864no—
386C2×#107—431no—
387C2×#107—431no—
388C2×#107—431no—
389C2×#107—431no—
390C2×#106—431no—
391C2×#106—431no—
392C2×#102—431no—
393C2×#102—431no—
394C2×#102—431no—
395C2×#102—431no—
396C2×C22⋊C8—431no—
397C2×C22⋊C8—431no—
398C2×C22⋊C8—431no—
399#396—861no—
400#394—861no—
401#390—21no—
402#390—431no—
403#389—431no—
404#388—21no—
405#388—21no—
406#386—861no—
407#384C2×D4311yescharacteristic
408#380—431no—
409#380C2×D4311yescharacteristic
410#380C2×D4311yescharacteristic
411C4×C4⋊C4—21no—
412C4×C4⋊C4C2×D4311yescharacteristic
413#340—431no—
414#340—431no—
415#340—431no—
416#340—431no—
417#340—431no—
418#340—431no—
419#336—431no—
420#336—431no—
421C43#2615711yescharacteristic, complemented, Sylow
422C22×D4—431no—
423C22×D4—861no—
424C22×D4—861no—
425C22×D4C22⋊D4311yescharacteristic
426C23×C4—861no—
427C23×C4C22×D4311yescharacteristic
428C23×C4C22×D4311yescharacteristic
429C2×M16—862no—
430C2×M16—862no—
431C2×M16—862no—
432C22×C8—431no—
433C22×C8—431no—
434C22×C8—431no—
435C22×C8—431no—
436#121—862no—
437#121—862no—
438#121—862no—
439#121—1721no—
440#121—1724no—
441C4×D4—22no—
442C4×D4—22no—
443#117—22no—
444#117—22no—
445#117—41no—
446#117—41no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—21no—
449C2×C4⋊C4—431no—
450C2×C4⋊C4—431no—
451C2×C4⋊C4—431no—
452C2×C4⋊C4—862no—
453C2×C4⋊C4—861no—
454C2×C4⋊C4—861no—
455C2×C4⋊C4—1721no—
456C2×C4⋊C4C22⋊D4311yescharacteristic
457C2×C4⋊C4C22×D4311yescharacteristic
458C2×C4⋊C4C22×D4311yescharacteristic
459C2×C4⋊C4C22×D4311yescharacteristic
460C2×C4⋊C4C22×D4311yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—21no—
464C2×C22⋊C4—21no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C22⋊C4—861no—
469C2×C22⋊C4—861no—
470C2×C22⋊C4C22⋊D4311yescharacteristic
471C2×C22⋊C4C22⋊D4311yescharacteristic
472C2×C42—21no—
473C2×C42—21no—
474C2×C42—21no—
475C2×C42C22×D4311yescharacteristic
476#107—862no—
477#107—862no—
478#107—862no—
479#107—1721no—
480#106—434no—
481#106—862no—
482#102—862no—
483#102—862no—
484#102—862no—
485#102—1721no—
486C22⋊C8—862no—
487C22⋊C8—862no—
488C22⋊C8—862no—
489#95—21no—
490#95—21no—
491#95—21no—
492#95—861no—
493#95—861no—
494C24—861no—
495C24C2×C22⋊D4311yescharacteristic
496C24C2×C22⋊D4311yescharacteristic
497C2×D4—22no—
498C2×D4—22no—
499C2×D4—41no—
500C2×D4—861no—
501C2×D4—861no—
502C2×D4—861no—
503C2×D4—861no—
504C2×D4—861no—
505C2×D4—861no—
506C2×D4—3441no—
507C2×D4—1722no—
508C2×D4—1722no—
509C2×D4—1722no—
510C2×D4—1722no—
511C2×D4—1722no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—861no—
527C22×C4—861no—
528C22×C4—861no—
529C22×C4—3441no—
530C22×C4—1722no—
531C22×C4—1722no—
532C22×C4#1062189812yes—
533C22×C4#1062189812yes—
534C22×C4C2×C22⋊D4311yescharacteristic
535C22×C4C2×C22⋊D4311yescharacteristic
536C22×C4C2×C22⋊D4311yescharacteristic
537C22×C4C2×C22⋊D4311yescharacteristic
538C22×C4C23×D4311yescharacteristic
539M16—868no—
540C2×C8—432no—
541C2×C8—432no—
542C2×C8—861no—
543C2×C8—861no—
544C2×C8—861no—
545C2×C8—861no—
546C2×C8—861no—
547C2×C8—861no—
548C2×C8—861no—
549C2×C8—861no—
550C2×C8—861no—
551C2×C8—861no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—42no—
561C4⋊C4—81no—
562C4⋊C4—432no—
563C4⋊C4—861no—
564C4⋊C4—861no—
565C4⋊C4—861no—
566C4⋊C4—861no—
567C4⋊C4—861no—
568C4⋊C4—1722no—
569C4⋊C4—1722no—
570C4⋊C4D4×D4312yes—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—81no—
576C22⋊C4—81no—
577C22⋊C4—3441no—
578C22⋊C4—1722no—
579C22⋊C4—1722no—
580C22⋊C4—1722no—
581C22⋊C4—1722no—
582C42—21no—
583C42—21no—
584C42—42no—
585C42—42no—
586C42—42no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—1721no—
601C23—1721no—
602C23—1721no—
603C23—1721no—
604C23—1721no—
605C23—1721no—
606C23—1721no—
607C23#1306330812yes—
608C23C22×C22⋊D4311yescharacteristic
609D4—44no—
610D4—3444no—
611D4—3444no—
612D4—1721no—
613D4—1721no—
614D4—1721no—
615D4—1721no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—862no—
647C2×C4—3444no—
648C2×C4—1721no—
649C2×C4—1721no—
650C2×C4—1721no—
651C2×C4—1721no—
652C2×C4—1721no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4#1306330812yes—
657C2×C4#1306335012yes—
658C2×C4C2×D4×D4311yescharacteristic
659C2×C4#41×D4311yescharacteristic
660C2×C4C2×#1062189811yescharacteristic
661C2×C4C2×#1062189811yescharacteristic
662C2×C4#1306337011yescharacteristic
663C2×C4#1306337211yescharacteristic
664C8—862no—
665C8—862no—
666C8—1721no—
667C8—1721no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—3441no—
683C22—3441no—
684C22—3441no—
685C22—3441no—
686C22—3441no—
687C22—3441no—
688C22—3441no—
689C22C2×#1306330811yescharacteristic
690C22D4×C22⋊D4311yescharacteristic
691C22#1458354811yescharacteristic
692C22C2×#1306335011yescharacteristic
693C22#1458369711yescharacteristic
694C22#1458370211yescharacteristic
695C22#1458371411yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—41no—
700C4—42no—
701C4—81no—
702C4—81no—
703C4—81no—
704C4—3441no—
705C4—3441no—
706C4—1722no—
707C4#1458340811yescharacteristic
708C4#1458349111yescharacteristic
709C4#1458355811yescharacteristic
710C4#1458359811yescharacteristic
711C2—42no—
712C2—81no—
713C2—6881no—
714C2#1913832411yescharacteristic
715C2#1914453511yescharacteristic
716C2#1914457311yescharacteristic
717C2#1914614611yescharacteristic
718C2#1914621511yescharacteristic
719C2#1914709511yescharacteristic
720C2#1914717311yescharacteristic
subgroupG/H
centerC23C22×C22⋊D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2354C2
socleC23×C43C22×D4
prime radical#19138035C2
hypercenter#2354D43
hypocenterC43#26157
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2354

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#14583223C2semidirect
2. C2×#14582942C2semidirect
4. #19136124C2semidirect
5. #19136067C2semidirect
6. #19136026C2semidirect
7. #19135777C2semidirect
8. #19135222C2semidirect
9. #19135173C2semidirect
10. #19135031C2semidirect
11. #19134917C2semidirect
12. #19134893C2semidirect
13. #19134794C2semidirect
14. #19134782C2semidirect
15. C43×#2354C2semidirect
94. #13063256D4semidirect
354. #2354D43semidirect
421. C43#26157semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#145832232
C2×#145829422
#191380352
#191361242
#191360672
#191360262
#191357772
#191352222
#191351732
#191350312
#191349172
#191348932
#191347942
#191347822
C43×#23542
#2615743